Two particles \(A\) and \(B\) of equal masses are suspended from two massless springs of spring constants \(K _{1}\) and \(K _{2}\) respectively.If the maximum velocities during oscillations are equal, the ratio of the amplitude of \(A\) and \(B\) is

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Answer & Solution

Correct Answer

(D) \(\sqrt{\frac{ K _{2}}{ K _{1}}}\)

Step-by-step Solution

Detailed explanation

\(A _{1} \omega_{1}= A _{2} \omega_{2}\)

\(A_{1} \sqrt{\frac{k_{1}}{m}}=A_{2} \sqrt{\frac{k_{2}}{m}}\)

\(\frac{ A _{1}}{ A _{2}}=\sqrt{\frac{ k _{2}}{ k _{1}}}\)

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